arXiv:math/0301318 Abstract

arXiv:math/0301318 [math.GT]Abstract References Reviews Resources

The Regge symmetry is a scissors congruence in hyperbolic space

Published 2003-01-27Version 1

We give a constructive proof that the Regge symmetry is a scissors congruence in hyperbolic space. The main tool is Leibon's construction for computing the volume of a general hyperbolic tetrahedron. The proof consists of identifying the key elements in Leibon's construction and permuting them.

Comments: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-1.abs.html

Journal: Algebr. Geom. Topol. 3 (2003) 1-31

Categories: math.GT, math.MG

Subjects: 51M10, 51M20

Keywords: hyperbolic space, scissors congruence, regge symmetry, leibons construction, general hyperbolic tetrahedron

Tags: journal article

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